1.Introduction

Aviation networks are a typical class of complex networks that are important research topics in transport as a vehicle for the realisation of air transport. Understanding airline networks is essential for understanding the relative importance of airports, the structural composition of the network and possible vulnerabilities, as well as aiding epidemiological research, as the spread of disease is closely linked to people’s travel patterns, in addition to the close relationship between air cargo volumes and income and employment in metropolitan areas (Button and Yuan 2013). If major hubs in the network are disrupted, this can significantly impact the network as a whole. Optimising the network pattern can inform airlines’ decisions on new route openings, flight schedules, etc. and avoid unhealthy competition between firms.

This project analyses the UK passenger airline network, measuring airport connectivity in terms of three indicators: degree centrality, betweenness centrality and closeness centrality, and simulates route reorganisation using Dijkstra’s algorithm to compare the network after Gatwick replaces Heathrow, and finally provides a descriptive analysis of the route coverage of different airports in the perspective of airline companies, providing a reference for the development of UK aviation.

2. Data acquisition and processing

The data for this project is divided into two main parts: UK route data and airport data.

2.1 Route Data

The civil airline route data was obtained from Opensky’s dataset, and I chose the time range from January 10, 2022, to January 24, 2022, in order to avoid the influence of holidays. First, I wrote the URL to get the route data in a specific period according to the API documentation and then used GET requests to get the OpenSky API to crawl the flight data for two weeks, where the routes included all domestic and international routes. Using this as the research basis for this project, the flight data only involved direct routes, excluding stopovers and connections. The obtained dataset information includes ICAO 24, expected flight departure time, ICAO code of desired departure airport, expected flight arrival time, ICAO code of expected arrival airport, callsign and other main information.

Since the interval between Opensky’s API requests cannot exceed two hours, I set the interval_size to 2, which means I only can get the data every two hours. To make it easier to get it, I use the as. numeric() function to convert the current date and time to UNIX timestamp and finally overlay it together using the while loop.

2.2 Airport Data

Regarding the selection of airports, most are from the Reported airport of the UK Department for Transport and Civil Aviation Authority (the airports that submit individual records of each air transport to the CAA). After integration, some airports with missing data, few routes and single destinations (e.g., some airlines have only Glasgow Airport as their route destination) were eliminated based on the route data provided by OpenSky. Most of the large and medium-sized airports were retained. Finally, the filtered airports were connected based on the latitude and longitude data provided by OpenFlights (Github link) to obtain their latitude and longitude for further The study was conducted.

2.3 UK map data

I downloaded the shapefile format data of Local_Authority_Districts from the Office of National Statistics as the basis for drawing the map. I used ArcGIS to merge all the regions into one piece as the base map for visualisation.Figure 1 is the distribution map of 26 airports in the UK.

uk-airports

uk-airports

3. Airport hubs and connectivity

3.1 Network building

Based on Graph Theory’s adjacency matrix theory, the UK air transport network was constructed for 3331 routes, 26 airports and ten airlines before the analysis. A relational data matrix (Figure 2) among all airport nodes involved was first built to calculate the connectivity of each airport as a departure and arrival airport, respectively (Before conducting the analysis, for the route network of 10 airlines, first build n relational data matrix among airport nodes).

Network-analysis-map

Network-analysis-map

Centrality metrics are commonly used to rank network nodes according to their topological importance (Bavelas 1948). In the following, we analyse routes using the three metrics of network analysis: degree centrality, betweenness centrality and closeness centrality.

3.2 Degree Centrality

In an airline network, the greater the degree of an airport, the higher the degree centrality of that airport, which means that it is more critical in the network. In simple terms, degree centrality is some function of the degree of a point (Freeman 1979).

3.3 Betweenness Centrality

Betweenness centrality measures the role of a particular node in a network as a broker(Song and Yeo 2017). It is the number of times a node acts as the shortest bridge between two other nodes, i.e. the number of times an airport serves as a connection point between two different airports. The higher the number of shortest paths through this point, the higher the intermediary centrality of that airport, meaning that this airport is likely to be a significant hub airport.

3.4 Closeness Centrality

Closeness centrality requires consideration of the average length of the shortest path from each node to the other nodes. For an airport, the closer it is to other airports, the more central it is.

3.5 Analysis and Findings

Top-5-Airports-by-Degree-Centrality

Top-5-Airports-by-Degree-Centrality

Top-5-Airports-by-Betweenness-Centrality

Top-5-Airports-by-Betweenness-Centrality

Top-5-Airports-by-Closeness-Centrality

Top-5-Airports-by-Closeness-Centrality

Based on the above, I calculated the degree centrality, betweenness centrality and closeness centrality for 26 airports based on 3,331 routes of 10 airlines and selected the top five airports for each indicator to visualise. The result is shown in Figure 3, Figure 4 and Figure 5.

Firstly, it is worth mentioning that London Heathrow is in first place in all three indicators, meaning that it occupies a key position in the airline network, with a high number of connections and important relay points as the shortest route between other airports. It is the most accessible airport in the UK airline network to all other airports.

In terms of degree centrality, Belfast International Airport is in second place with 540, followed by Edinburgh Airport (449), London Gatwick Airport (385) and Glasgow International Airport (350), respectively. Two of the top five airports are located in Scotland and England (London) and one is in Northern Ireland, all of which are large airports. Regarding betweenness centrality, in second place remains Belfast International Airport, with Manchester Airport in the middle of the UK in third place, followed by Glasgow International Airport and Edinburgh Airport in Scotland.

In the results of degree centrality and betweenness centrality, the value of the second place is very different from the value of the first place, and the value of the second place is less than one-half of the first place. However, the difference between the second, third, fourth and fifth places is not very big. Except for London Heathrow, these airports are more similar in their positions and roles in the network; all of them are airports with specific scale and importance, but they are slightly less influential and critical compared to the first-ranked airport.

However, the top five airports do not differ significantly in their closeness centrality values, ranging from London Heathrow in the first place to London Gatwick in fifth place, by only about 0.07, suggesting that these airports have great flight connections that provide easy and quick access to other airports in the network.

In summary, based on the above calculations of degree centrality, betweenness centrality and closeness centrality, London Heathrow is a central aviation hub in the UK with many daily flights in and out and plays a key relay role in the overall UK aviation network.

4. Exploratory analysis of LHR

London Heathrow Airport, located 14 miles west of central London, is the UK’s number one airport, with connections to hundreds of destinations worldwide.

But Heathrow’s reliance on foreign hubs is weakening its position in the overall global aviation network because when only regional markets are considered, significant dependence on foreign hubs appears in many destinations, particularly Asia–Pacific or the BRIC countries where above 80% of passengers use transfer flights (Suau-Sanchez, Voltes-Dorta, and Rodríguez-Déniz 2016). While UK regions are already well-connected to many European destinations with the development of low-cost airlines, their weak position in the UK city hierarchy limits their ability to receive direct air services to intercontinental destinations, and The added value they bring (Shin and Timberlake 2000; Hall 2009; Bentlage, Lüthi, and Thierstein 2013).

It is difficult to imagine the status of Heathrow Airport in the future. For these reason, we chose Gatwick Airport as an alternative hub for Heathrow, and explored if Heathrow Airport does not exist, whether there are other airports that can undertake huge traffic The air transport business of the airport also indirectly develops a second airport to take over a large number of international routes, thereby helping to reduce the loss of passengers to London.

4.1 Methodology

Based on the above conditions, we assume that Gatwick Airport is selected, and then use the igraph and Dijkstra algorithm to view the shortest path from Gatwick Airport to all other airports in the event that London Heathrow Airport is demolished. Use filter() to filter out all routes involving Heathrow Airport and delete them, then create a new directed graph object, the same as the above steps to create a network, set the weight of the edge to 1, set the start_node to Gatwick Airport and Calculate the shortest path using Dijkstra’s algorithm. Based on the calculated results, a new network is constructed for airport connectivity evaluation.

4.2 Results and Discussions

New-Network-analysis-map

New-Network-analysis-map

A new aviation network matrix has been created (Figure 6). Following the closure of Heathrow, Belfast International Airport, the most connected airport in the new network, has seen a drop in connectivity compared to the highest airport in the old network (ie Heathrow). Even though it has the highest degree centrality in the new network, it is only half as connected as Heathrow. But as closeness centrality has improved in the new network, if routes between airports are more optimally organized after Heathrow closes, the average flight distance between any two airports will be shorter.

Table 1: Degree centrality comparison

Airport Degree centrality Airport New Degree centrality
London Heathrow Airport 1175 Belfast International Airport 539
Belfast International Airport 540 London Gatwick Airport 357
Edinburgh Airport 449 Edinburgh Airport 315
London Gatwick Airport 385 Glasgow International Airport 262
Glasgow International Airport 350 Manchester Airport 244

Table 2: Betweenness centrality comparison

Airport Betweenness centrality Airport New Betweeness centrality
London Heathrow Airport 1128.796 Belfast International Airport 655.5115
Belfast International Airport 447.5315 London City Airport 310.3420
Manchester Airport 429.2433 Edinburgh Airport 296.4661
Glasgow International Airport 403.8832 Birmingham Airport 290.7720
Edinburgh Airport 392.8011 Belfast City Airport 280.5672

Table 3: Closeness centrality comparison

Airport Closeness centrality Airport New Closeness centrality
London Heathrow Airport 0.0078740 Belfast International Airport 0.0091743
Edinburgh Airport 0.0074626 London Gatwick Airport 0.0088495
Manchester Airport 0.0074074 Edinburgh Airport 0.0085470
Glasgow International Airport 0.0073529 Glasgow International Airport 0.0084745
Edinburgh Airport 0.0072992 Manchester Airport 0.0084745

According to the comparison of the airport connectivity indicators given in the three tables (Table 1, Table 2 and Table 3),While Belfast International Airport surpasses Gatwick in the new network for degree centrality, betweenness centrality and proximity centrality, Gatwick ranks mid-point for degree centrality and proximity centrality It ranks second, indicating that it is still connected to many important airports, which means that it is still a very important node. Given Gatwick’s location, demographics and economics, even though it doesn’t have as much airport connectivity as Belfast, that doesn’t mean it can’t serve as a valid alternative. But while Gatwick (or any other airport for that matter) might be the best alternative, it still can’t fully replace Heathrow’s functions.

5. Airline analysis

5.1 Methodology

The previously collated route data was used to calculate the number of airports involved and the total number of routes for each airline using the functions group_by(), mutate() and summarize(), as well as the proportion of each airline’s routes to each airport. Finally, the UK map shapefile data was read and the percentage of routes for each airline at each airport was visualised using ggplot().

5.2 Results and Discussions

Based on the 3331 routes of 10 airlines, I calculated the number of British airports and the total number of routes involved in each airline, which can effectively reflect the importance of airlines in the British aviation network. The results are shown in table 4.

Table 4: Airline Details

Airline ICAO Airports Involved Number of Routes
Aer Lingus EIN 8 482
British Airways BAW/SHT 14 1495
BA CityFlyer CFE 10 345
Eastern Airways EZE 13 62
EasyJet EZY 16 2083
Jet2 EXS 11 82
Loganair Airways LOG 6 133
Titan Airways AWC 6 125
TUI Airways TOM 13 92
Virgin Atlantic Airways VIR 2 18
Wizz Air WUK 2 6

Based on the number of airports involved, the airline with the most airports covered is EasyJet, the UK’s largest low-cost airline, with 16 UK airports, in addition to British Airways (14), Eastern Airways (13), TUI Airways (13) and BA Cityflyer (10). Jet2 (11) and BA Cityflyer (10). Airlines with less than 10 airports are Aer Lingus, Loganair Airways, Titan Airways, Virgin Atlantic Airways and Wizz Air.

Regarding routes, EasyJet is in first place with 2083 routes and British Airways is in second place with 1495, the only two airlines of these 10 airlines with more than 1000 routes. Routes in the 100-1000 range are Aer Lingus, BA Cityflyer, Loganair Airways, Titan Airways, TUI Airways, Jet2, Eastern Airways, Virgin Atlantic Airways and Wizz Air with 92, 82 and 62 routes respectively. TUI Airways, Jet2, Eastern Airways, Virgin Atlantic Airways and Wizz Air are in the less than 100 tier with 92, 82, 62, 18 and 6 routes respectively.

Each airport in the UK has a number of airline routes, and the cities and distribution of the routes will vary with the size and importance of the cities. This project calculates the proportion of each airline company in the airport routes of ten airline companies, and analyzes the distribution ratio of airline companies based on the degree of external connection of the airport, as shown in Figure 7.

Proportion-of-Airport-Flights

Proportion-of-Airport-Flights

It is not difficult to find that Easyjet has a large market share in most airports in the UK from Figure 7, with a coverage rate of up to 70%. But there are also a few airports Newquay, Exeter, Bournemouth and Southampton that are not covered in the southwest of England, and the dominant position is replaced by Eastern Airway. The airports in northern England involve a variety of aviation companies, involving up to 8 airlines, including Easyjet, Virgin Atlantic Airways, Titan Airways, Eastern Airways, Loganair Airways, British Airways, Aer Lingus and Jet2. Among them, Jet2’s routes at Leeds Bradford Airport account for more than all other airports. In the Scottish region, TUI Airways and British Airways are the airlines with a larger share except Easyjet, with a coverage rate of more than 25%. Others involved include Loganair Airways, Aer Lingus, BA CityFlyer and Titan Airways. In Northern Ireland, apart from Easyjet, BA CityFlyer, Aer Lingus and TUI Airways are in a strong position.

Among the six airports in the top five of the three indicators of airport connectivity, Manchester Airport ranked first with 8 airlines covered, followed by Edinburgh and London Gatwick with 7 airlines, Glasgow International Airport, London Hope Throw Airport and Belfast International Airport involve 6, 4 and 4 airlines respectively.

6. Limitation and Discussion

Of course the project has many shortcomings. The first is the acquisition of data. Due to various reasons, I cannot accurately obtain the historical timetable route data limited to certain regions, because the interval of Opensky API requests can only be limited to within two hours. The accuracy of the obtained data and the reliability is not very high, there are cases of missing data (missing departure and arrival airports and callsign). Secondly, it only selects a specific research scope, and does not involve all the airports, airlines and routes in the UK, ignoring the possibility that there are many other airlines that undertake a large share of traffic in the UK. The research time is only selected for two weeks, ignoring the possibility that airlines will adjust their routes as the seasons change.

When simulating the reorganized aviation network, only the shortest route is considered as an influencing factor, and factors such as the geographical location, scale, facilities, economy, and population of the new alternative airports are ignored. Secondly, the number of alternative airports to be selected is single. If conditions permit, an algorithm can be used to conduct a more comprehensive analysis, and the algorithm can be used to traverse each candidate target, and then comprehensively compare to find one or several airports with the best effect.

When analyzing airlines, the number and types of choices are relatively small, because the central portal of the British air transport market also has a strong dependence on foreign airlines. Therefore, in the future, the introduction of more airline data for analysis can better clarify the competitive relationship between British airlines and other airlines, find their own advantages in airports in different cities, and ensure good ecological competition.

7.Conclusion

There are several findings of this project are as follows: the analysis concludes that London Heathrow is a highly connected airport and that the other airports (Belfast International, Edinburgh, London Gatwick, Glasgow International and Manchester) are not even half as capable as Heathrow in terms of degree centrality and median centrality. These airports are more similar in terms of their position in the network and the transport role they play, and are of comparable size, but still far less than the top ranked Heathrow airport. Assuming that Gatwick takes over the transport functions of Heathrow, it would still be slightly inferior to Belfast International in the new network, but given its position among the UK’s many airports, its location and economic conditions, Gatwick is a very good choice. Of the 10 airlines, Easyjet has a large market share at the majority of UK airports, Eastern Airway is prevalent mainly in the South West and the Midlands of England has the largest variety of airlines involved.

Based on this, Belfast International and Gatwick could be considered as both sharing the role of a transit hub at Heathrow, which could ease the vulnerability of Heathrow while attracting more routes into the UK and bringing more economic development opportunities. Regarding airline companies, those with geographical advantages should pay attention to the strategic position of core airports and use the hub role of core airports for route expansion; with regard to the overall uneven spatial distribution of aviation enterprises, attention should be paid to alleviating competition among enterprises in marginal areas and helping them to find their own advantageous position in order to avoid route shortages and vicious competition.

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